English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In [Aldous,Pitman,1998] a tree-valued Markov chain is derived by pruning offmore and more subtrees along the edges of a Galton-Watson tree. More recently,in [Abraham,Delmas,2012], a continuous analogue of the tree-valued pruningdynamics is constructed along L\'evy trees. In the present paper, we provide anew topology which allows to link the discrete and the continuous dynamics byconsidering them as instances of the same strong Markov process with differentinitial conditions. We construct this pruning process on the space of so-calledbi-measure trees, which are metric measure spaces with an additional pruningmeasure. The pruning measure is assumed to be finite on finite trees, but notnecessarily locally finite. We also characterize the pruning processanalytically via its Markovian generator and show that it is continuous in theinitial bi-measure tree. A series of examples is given, which include thefinite variance offspring case where the pruning measure is the length measureon the underlying tree.

Convergence of bi-measure R-tree and the pruning process